I don't recommend this. The bounce process simply reads the SECOND "To: email@addr.com" line in a processed email. This is because the mail server sends a copy of the bounced message back. A bounced message would look something like this:
From: mailer-daemon@baduser.com
To: bounce@yoursite.com
-- A copy of the message is below ---
From: news@yoursite.com
To: asdfjkl@baduser.com
Therefore, setting the "Send From" email to your bounce address will not result in users being cleaned out.